What is the answer to sqrt(w^2-w+3)-1=2w ?

The answer to sqrt(w^2-w+3)-1=2w is w= 1/3

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sqrt(w^2-w+3)-1=2w

w^{2} - w + 3 - 1 = 2 w

w = \frac{1}{3}

Decimal Notation

w = 0.33333 \dots

Solution steps

w^{2} - w + 3 - 1 = 2 w

Remove square roots

w^{2} - w + 3 = 4 w^{2} + 4 w + 1

Solve

w^{2} - w + 3 = 4 w^{2} + 4 w + 1 : w = - 2, w = \frac{1}{3}

w = - 2, w = \frac{1}{3}

Verify Solutions:

w = - 2

False

, w = \frac{1}{3}

True

The solution is

w = \frac{1}{3}

13 v - 3 - 9 = - 2

x^{3} - x = 0

- 4 = 5 z + 7

y, x = y^{\frac{1}{3}}

x - 7 = 5

What is the answer to sqrt(w^2-w+3)-1=2w ?
The answer to sqrt(w^2-w+3)-1=2w is w= 1/3
Solve for w: sqrt(w^2-w+3)-1=2w
The solution is w= 1/3